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Estimation of Neutrino Masses Without Using Seesaw Mechanism

Received: 8 December 2019     Accepted: 16 December 2019     Published: 24 December 2019
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Abstract

We propose the Bethe-Salpeter-like amplitude of spin operator in spin space and consider that the vibration of this spin operator amplitude causes the vibration in azimuthal angle space, which causes the anomalous magnetic moment of leptons and generates masses of flavor state neutrino. Under this consideration, we can estimate neutrino masses using anomalous magnetic moment of leptons instead of using conventional seesaw mechanism. Electron anomalous magnetic moment and muon anomalous magnetic moment have been measured precisely so that we can estimate the masses of electron and muon neutrino systemically in our consideration. For tau neutrino mass case, we cannot estimate it in our consideration because tauon anomalous magnetic moment has not been measured. Instead, we use the squared mass splitting data to estimate tau neutrino mass in this paper. These are not mass eigenstates masses but flavor states masses, however, the sum of these masses, which should be equal to the sum of mass eigen states masses, is consistent to the current upper and lower bound of the sum of neutrino masses for both cases of normal hierarchy and inverted hierarchy.

Published in International Journal of High Energy Physics (Volume 6, Issue 2)
DOI 10.11648/j.ijhep.20190602.14
Page(s) 54-60
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Beth-Salpeter-like Amplitude, Spin Operator, Neutrino Mass

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    Teruo Kurai. (2019). Estimation of Neutrino Masses Without Using Seesaw Mechanism. International Journal of High Energy Physics, 6(2), 54-60. https://doi.org/10.11648/j.ijhep.20190602.14

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    Teruo Kurai. Estimation of Neutrino Masses Without Using Seesaw Mechanism. Int. J. High Energy Phys. 2019, 6(2), 54-60. doi: 10.11648/j.ijhep.20190602.14

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    Teruo Kurai. Estimation of Neutrino Masses Without Using Seesaw Mechanism. Int J High Energy Phys. 2019;6(2):54-60. doi: 10.11648/j.ijhep.20190602.14

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  • @article{10.11648/j.ijhep.20190602.14,
      author = {Teruo Kurai},
      title = {Estimation of Neutrino Masses Without Using Seesaw Mechanism},
      journal = {International Journal of High Energy Physics},
      volume = {6},
      number = {2},
      pages = {54-60},
      doi = {10.11648/j.ijhep.20190602.14},
      url = {https://doi.org/10.11648/j.ijhep.20190602.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20190602.14},
      abstract = {We propose the Bethe-Salpeter-like amplitude of spin operator in spin space and consider that the vibration of this spin operator amplitude causes the vibration in azimuthal angle space, which causes the anomalous magnetic moment of leptons and generates masses of flavor state neutrino. Under this consideration, we can estimate neutrino masses using anomalous magnetic moment of leptons instead of using conventional seesaw mechanism. Electron anomalous magnetic moment and muon anomalous magnetic moment have been measured precisely so that we can estimate the masses of electron and muon neutrino systemically in our consideration. For tau neutrino mass case, we cannot estimate it in our consideration because tauon anomalous magnetic moment has not been measured. Instead, we use the squared mass splitting data to estimate tau neutrino mass in this paper. These are not mass eigenstates masses but flavor states masses, however, the sum of these masses, which should be equal to the sum of mass eigen states masses, is consistent to the current upper and lower bound of the sum of neutrino masses for both cases of normal hierarchy and inverted hierarchy.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Estimation of Neutrino Masses Without Using Seesaw Mechanism
    AU  - Teruo Kurai
    Y1  - 2019/12/24
    PY  - 2019
    N1  - https://doi.org/10.11648/j.ijhep.20190602.14
    DO  - 10.11648/j.ijhep.20190602.14
    T2  - International Journal of High Energy Physics
    JF  - International Journal of High Energy Physics
    JO  - International Journal of High Energy Physics
    SP  - 54
    EP  - 60
    PB  - Science Publishing Group
    SN  - 2376-7448
    UR  - https://doi.org/10.11648/j.ijhep.20190602.14
    AB  - We propose the Bethe-Salpeter-like amplitude of spin operator in spin space and consider that the vibration of this spin operator amplitude causes the vibration in azimuthal angle space, which causes the anomalous magnetic moment of leptons and generates masses of flavor state neutrino. Under this consideration, we can estimate neutrino masses using anomalous magnetic moment of leptons instead of using conventional seesaw mechanism. Electron anomalous magnetic moment and muon anomalous magnetic moment have been measured precisely so that we can estimate the masses of electron and muon neutrino systemically in our consideration. For tau neutrino mass case, we cannot estimate it in our consideration because tauon anomalous magnetic moment has not been measured. Instead, we use the squared mass splitting data to estimate tau neutrino mass in this paper. These are not mass eigenstates masses but flavor states masses, however, the sum of these masses, which should be equal to the sum of mass eigen states masses, is consistent to the current upper and lower bound of the sum of neutrino masses for both cases of normal hierarchy and inverted hierarchy.
    VL  - 6
    IS  - 2
    ER  - 

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Author Information
  • Fuchuu-shi, Tokyo, Japan

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